SOLUTION: the admission fee to a theater is $3 for adults and $2 for children.On a certain day, 70 people went to the theater for a concert and $190 was collected. How many adults and child

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Question 817649: the admission fee to a theater is $3 for adults and $2 for children.On a certain day, 70 people went to the theater for a concert and $190 was collected. How many adults and children attended the concert?

Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website!
x= number of adults
y= number of children

1.00 x + 1.00 y = 70.00 .............1
Total value
3.00 x + 2.00 y = 190.00 .............2
Eliminate y
multiply (1)by -2.00
Multiply (2) by 1.00
-2.00 x -2.00 y = -140.00
3.00 x + 2.00 y = 190.00
Add the two equations
1.00 x = 50.00
/ 1.00
x = 50.00
plug value of x in (1)
1.00 x + 1.00 y = 70.00
50.00 + y = 70.00
y = 70.00 -50.00
y = 20.00
y = 20.00
x= 50.00 number of adults
y= 20.00 number of children
m.ananth@hotmail.ca